" (i) "sum_(n=1)^(11)(2+3^(n))

Evaluate : (i) sum_(n=1)^(10)(2+3^(n))" " (ii) sum_(k=1)^(n)[2^(k)+3^((k-1))]" " (iii) sum_(n=1)^(8) 5^(n)

Evaluate the following: sum_(n=1)^(11)(2+3^(n))

Evaluate the following: sum_(n=1)^(11)(2+3^n)

sum_(n=1)^(oo)(1)/(2n(2n+1))=

The value of sum_(n=1)^(oo)(4n-2)/(3^(n))

What is the value of the sum sum_(n=2)^(11) (i^(n)+i^(n+1)), where i=sqrt(-1)?

Find the sum sum_(n=1)^(oo)(6^(n))/((3^(n)-2^(n))(3^(n+1)-2^(n+1)))

Find the sum sum_(n=1)^(oo)(6^(n))/((3^(n)-2^(n))(3^(n+1)-2^(n+1)))